Jan A. Sanders, Ferdinand Verhulst, James Murdock

eBook, PDF

Averaging Methods in Nonlinear Dynamical Systems (eBook, PDF)

Beschreibung

This second edition offers a wide-ranging update and revision of the previous edition. The updated chapters represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are survey appendices on invariant manifolds. Since the first edition, the book has expanded in length and a third author, James Murdock has been added. One of the most striking features of the book is the collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 4.52MB

Barrierefreiheit

• Text-to-Speech

Produktdetails

• Verlag: Springer US
• Seitenzahl: 434
• Erscheinungstermin: 18. August 2007
• Englisch
• ISBN-13: 9780387489186
• Artikelnr.: 37287123

Rezensionen

From the reviews of the second edition:

"This monograph is a second edition comprising a thorough revision and an expansion of the first one ... . Thus, the reader is exposed to the practice of examining both concrete applications ... and theory. ... comprehensive content is extremely well written. ... The presentation is self-contained, thus offering a high level and convenient exposition to those who wish to study the subject matter as a whole. ... The text introduces particular notations which are not too common in the literature." (Zvi Artstein, Mathematical Reviews, Issue 2008 h)

"The new book will be an ideal place to learn about averaging, including what's new in the last quarter century ... . Overall, the authors

are to be commended for writing this timely and important piece of scholarship, which should teach many about their topic and related analysis." (Robert E. O' Malley, Jr., Siam Review, Vol. 51 (1), 2009)

"This monograph is a revised and expanded second edition of the original text from 1985 by the first two authors. This first edition has since then become one of the standard references for the modern theory of averaging and singular perturbations of ordinary differential equations. Without doubt the second edition will continue this legacy. ... The book is well-written with full proves and a wealth of enlightening examples. It can only be warmly recommended to everybody working in this field ... ." (G. Teschl, Monatshefte für Mathematik, Vol. 156 (4), April, 2009)